EconPapers    
Economics at your fingertips  
 

Endogenous Grids in Higher Dimensions: Delaunay Interpolation and Hybrid Methods

Alexander Ludwig () and Matthias Schön ()

Computational Economics, 2018, vol. 51, issue 3, 463-492

Abstract: Abstract This paper investigates extensions of the method of endogenous gridpoints (ENDGM) introduced by Carroll (Econ Lett 91(3):312–320, 2006) to higher dimensions with more than one continuous endogenous state variable. We compare three different categories of algorithms: (i) the conventional method with exogenous grids (EXOGM), (ii) the pure method of endogenous gridpoints (ENDGM) and (iii) a hybrid method (HYBGM). ENDGM comes along with Delaunay interpolation on irregular grids. Comparison of methods is done by evaluating speed and accuracy by using a specific model with two endogenous state variables. We find that HYBGM and ENDGM both dominate EXOGM. In an infinite horizon model, ENDGM also always dominates HYBGM. In a finite horizon model, the choice between HYBGM and ENDGM depends on the number of gridpoints in each dimension. With less than 150 gridpoints in each dimension ENDGM is faster than HYBGM, and vice versa. For a standard choice of 25–50 gridpoints in each dimension, ENDGM is 1.4–1.7 times faster than HYBGM in the finite horizon version and 2.4–2.5 times faster in the infinite horizon version of the model.

Keywords: Dynamic models; Numerical solution; Method of endogenous gridpoints; Delaunay interpolation (search for similar items in EconPapers)
JEL-codes: C63 E21 (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: Track citations by RSS feed

Downloads: (external link)
http://link.springer.com/10.1007/s10614-016-9611-2 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
Working Paper: Endogenous grids in higher dimensions: Delaunay interpolation and hybrid methods (2016) Downloads
Working Paper: Endogenous Grids in Higher Dimensions: Delaunay Interpolation and Hybrid Methods (2014) Downloads
Working Paper: Endogenous Grids in Higher Dimensions: Delaunay Interpolation and Hybrid Methods (2014) Downloads
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:kap:compec:v:51:y:2018:i:3:d:10.1007_s10614-016-9611-2

Ordering information: This journal article can be ordered from
http://www.springer. ... ry/journal/10614/PS2

Access Statistics for this article

Computational Economics is currently edited by Hans Amman

More articles in Computational Economics from Springer, Society for Computational Economics Contact information at EDIRC.
Bibliographic data for series maintained by Sonal Shukla ().

 
Page updated 2019-09-17
Handle: RePEc:kap:compec:v:51:y:2018:i:3:d:10.1007_s10614-016-9611-2